Cyclic Cohomology and Noncommutative Geometry ( Fields Institute Communications )

Publication series :Fields Institute Communications

Author: Joachim J. R. Cuntz;Masoud Khalkhali  

Publisher: American Mathematical Society‎

Publication year: 1997

E-ISBN: 9781470429850

P-ISBN(Hardback):  9780821808238

Subject: O1 Mathematics

Keyword: 暂无分类

Language: ENG

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Cyclic Cohomology and Noncommutative Geometry

Description

Noncommutative geometry is a new field that is among the great challenges of present-day mathematics. Its methods allow one to treat noncommutative algebras—such as algebras of pseudodifferential operators, group algebras, or algebras arising from quantum field theory—on the same footing as commutative algebras, that is, as spaces. Applications range over many fields of mathematics and mathematical physics. This volume contains the proceedings of the workshop on “Cyclic Cohomology and Noncommutative Geometry” held at The Fields Institute (Waterloo, ON) in June 1995. The workshop was part of the program for the special year on operator algebras and its applications. Features: Contributions by originators of the subject who are leaders in the field. Survey articles not previously available. Expository articles geared toward the larger mathematical community.

Chapter

Title page

Contents

Preface

Asymptotic morphisms on contact manifolds and index theory

Noncommutative differential geometry and the structure of space time

Excision in periodic cyclic theory for topological algebras

A closed model structure for differential graded algebras

Sur la K-théorie multiplicative

A survey of entire cyclic cohomology

Overview on Leibniz algebras, dialgebras and their homology

Straight Chern character for Witt spaces

Super-connections and non-commutative geometry

Spectral flow in type I and II factors—A new approach

A survey of asymptotic cyclic cohomology

The higher Γ-index for coverings of manifolds with boundaries

Appendix I

Appendix II

Back Cover

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